YES
Time: 0.001213
TRS:
 {  f(x, x) -> a(),
  f(g x, y) -> f(x, y)}
 DP:
  DP:
   {f#(g x, y) -> f#(x, y)}
  TRS:
  {  f(x, x) -> a(),
   f(g x, y) -> f(x, y)}
  EDG:
   {(f#(g x, y) -> f#(x, y), f#(g x, y) -> f#(x, y))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):